draw the reflection of the following quadrilateral over the line p.

Explanation:

Step1: Identify key points

Identify the vertices of the quadrilateral.

Step2: Find reflection rules

For a vertical line of reflection (line (p)), the (y -)coordinate of each point remains the same, and the (x -)coordinate changes according to the distance from the line of reflection. Let the equation of line (p) be (x = a). If a point has coordinates ((x,y)), its reflection ((x',y')) has (y'=y) and (x'=2a - x).

Step3: Calculate reflected points

Measure the distance of each vertex from line (p) and find the corresponding reflected (x -)coordinates while keeping the (y -)coordinates the same.

Step4: Connect the points

Connect the reflected vertices in the same order as the original quadrilateral to form the reflected quadrilateral.

This problem requires drawing, and as this is a text - based response, the steps to construct the reflection are provided. In a graphical environment, one would use a ruler and a pencil to accurately plot the reflected points and draw the new quadrilateral.

Answer:

The answer is the quadrilateral formed by reflecting each vertex of the original quadrilateral over the line (p) following the rules of reflection (keeping (y -)coordinates the same and calculating new (x -)coordinates based on the distance from the line (p)) and then connecting the reflected vertices in the same order as the original quadrilateral.